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Simplifying 7w + 5 + 16w2 = 0 Reorder the terms: 5 + 7w + 16w2 = 0 Solving 5 + 7w + 16w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.3125 + 0.4375w + w2 = 0 Move the constant term to the right: Add '-0.3125' to each side of the equation. 0.3125 + 0.4375w + -0.3125 + w2 = 0 + -0.3125 Reorder the terms: 0.3125 + -0.3125 + 0.4375w + w2 = 0 + -0.3125 Combine like terms: 0.3125 + -0.3125 = 0.0000 0.0000 + 0.4375w + w2 = 0 + -0.3125 0.4375w + w2 = 0 + -0.3125 Combine like terms: 0 + -0.3125 = -0.3125 0.4375w + w2 = -0.3125 The w term is 0.4375w. Take half its coefficient (0.21875). Square it (0.0478515625) and add it to both sides. Add '0.0478515625' to each side of the equation. 0.4375w + 0.0478515625 + w2 = -0.3125 + 0.0478515625 Reorder the terms: 0.0478515625 + 0.4375w + w2 = -0.3125 + 0.0478515625 Combine like terms: -0.3125 + 0.0478515625 = -0.2646484375 0.0478515625 + 0.4375w + w2 = -0.2646484375 Factor a perfect square on the left side: (w + 0.21875)(w + 0.21875) = -0.2646484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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